PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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Sl no Channels Effective cross-section (in fb) 1 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+l +4j+ ̸ p T 13.36 2 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+l +τ +2j+ ̸ p T 4.38 3 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+OSD(l+l ′ )+2j+ ̸ p T 6.57 4 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+LSD(l+l ′ )+2j+ ̸ p T 2.19 5 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+OSD(l+l ′ )+τ+ ̸ p T 1.09 6 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+LSD(l+l ′ )+τ+ ̸ p T 0.37 7 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+OSD(l+l ′ )+2τ +2j+ ̸ p T 1.35 8 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+LSD(l+l ′ )+2τ +2j+ ̸ p T 0.45 9 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+OSD(l+l ′ )+3τ+ ̸ p T 0.23 10 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+LSD(l+l ′ )+3τ+ ̸ p T 0.08 11 Σ ± Σ 0 → H ± νH ± l ∓ → OSD(l+l ′ )+4τ +2j+ ̸ p T 0.06 12 Σ ± Σ 0 → H ± νH ± l ∓ → LSD(l+l ′ )+4τ +2j+ ̸ p T 0.02 13 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+l+2τ +4j+ ̸ p T 2.78 14 Σ ± Σ 0 → H ± νH ± l ∓ → l+4τ +4j+ ̸ p T 0.14 15 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+3l(l+2l ′ )+ ̸ p T 1.68 16 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+3l(l+2l ′ )+2τ+ ̸ p T 0.32 15 Σ ± Σ 0 → H ± νH ± l ∓ → 3l(l+2l ′ )+4τ+ ̸ p T 0.02 16 Σ ± Σ 0 → H ± νH ± l ∓ → 4b+l+2τ+ ̸ p T 0.42 17 Σ ± Σ 0 → H ± νH ± l ∓ → 2b+l+4τ+ ̸ p T 0.08 18 Σ ± Σ 0 → H ± νH ± l ∓ → l+5τ +2j+ ̸ p T 0.04 19 Σ ± Σ 0 → H ± νH ± l ∓ → l +6τ+ ̸ p T 0.004 20 Σ ± Σ 0 → H ± νH ± l ∓ → l+l ′ +5τ+ ̸ p T 0.008 Table 3.10: Effective cross-sections (infb) of different Σ ± Σ 0 decay channels for M Σ1 = 300 GeV. 70
Sl no Channels Effective cross-section in fb 1 4b +OSD 35.84 2 4b+l+ ̸ p T 96.3 3 4b+l ′ + ̸ p T 107.4 4 4b+τ+ ̸ p T 53.7 5 4b+l+2j+ ̸ p T 26.88 6 4b+2l+2j 36.12 7 4b+3l(2l+l ′ )+ ̸ p T 12.04 Table 3.11: Effective cross-sections in fb for M Σ1 = 300 GeV, for the most important channels for our model. • We begin by looking at the Σ ± Σ 0 decays where Σ ± → l ± h 0 and Σ 0 → νh 0 . This would lead to the following final state configuration Σ ± Σ 0 → l ± h 0 h 0 ν → 4b+l+ ̸ p T , with a very large effective cross-section of 96.3 fb. This channel should be easy to tag. The 4 b-jets come from the displaced h 0 vertices, and the lepton released is hard. This lepton will also carry information on the µ-τ symmetric flavor structure of the model. For the choice of Higgs mass M h 0 = 70 GeV, the effective cross section reduces to 89.6. Another unambiguous channel with significant effective cross-section coming from the l ± h 0 h 0 ν intermediate state is where one of the h 0 decays into τ¯τ. Σ ± Σ 0 → l ± h 0 h 0 ν → 2b+l+2τ+ ̸ p T , • The other intermediate state which has very largeeffective cross-sections is Σ ± Σ 0 → νH ± νh 0 . The H ± would decay into W ± h 0 , and W ± into a lepton l ′ finally giving Σ ± Σ 0 → H ± νh 0 ν → 4b+l ′ + ̸ p T , withaneffective cross-section of107.4fb. Alternatively, theW − couldinsteaddecay into τ¯ν τ giving Σ ± Σ 0 → H ± νh 0 ν → 4b+τ+ ̸ p T , 71
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Neutrinos and Some Aspects of Physi
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Declaration This thesis is a presen
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Acknowledgments First and foremost,
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iii
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trino masses are bounded within 0.1
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softly broken Z 2 symmetry, the mas
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tribimaximal mixing in the neutrino
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Bibliography [1] Two Higgs doublet
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Contents 1 Introduction 1 1.1 Stand
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6.2.2 Charged Lepton Masses and Mix
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Chapter 1 Introduction 1.1 Standard
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For positive µ 2 and λ, the Higgs
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type of Yukawa interaction between
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interaction with the Higgs as λ f
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where ˆΦ is the MSSM chiral super
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(2004); A. Ghosal, hep-ph/0304090;
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active flavor. In recent years, sev
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Figure 2.1: The possible neutrino s
Page 48 and 49: Majorana mass term breaks lepton nu
Page 50 and 51: The kinetic term of the Higgs tripl
Page 52 and 53: ight handed neutrino N R can be exa
Page 54 and 55: alternating group which is not a di
Page 56 and 57: The group contains two one-dimensio
Page 58 and 59: from neutral-current interactions i
Page 60: [31] K. S. Babu and R. N. Mohapatra
Page 64 and 65: of producing the heavy fermion trip
Page 66 and 67: where Σ ± Ri = Σ1 Ri ∓iΣ2 Ri
Page 68 and 69: while U ν diagonalizes m ν and ˜
Page 70 and 71: It is evident that the masses of th
Page 72 and 73: 0.001 0.001 0.0001 0.0001 U e3 1e-0
Page 74 and 75: if we neglect terms proportional to
Page 76 and 77: calculations for lepton flavor viol
Page 78 and 79: fb. Therefore, it is obvious that t
Page 80 and 81: Σ − -> e m 1 m h 0 Σ − -> e m
Page 82 and 83: We can also see that for Σ − m 1
Page 84 and 85: the sinα term. However, decay to h
Page 86 and 87: Σ − m 1 ->ν m1 W Σ 0 m 1 ->ν
Page 88 and 89: Γ 2HDM (Σ 0 m → ν m H 0 ) ≃
Page 90 and 91: Decay modes Σ ± m 1 Σ ± m 2 Σ
Page 92 and 93: III seesaw model. Clearly, for our
Page 94 and 95: Sl no Channels Effective cross-sect
Page 96 and 97: • The other dominant decay channe
Page 100 and 101: Sl no Channels Effective cross-sect
Page 102 and 103: 3.9 Conclusions The seesaw mechanis
Page 104 and 105: Appendix A: The Scalar Potential an
Page 106 and 107: B: The Interaction Lagrangian B.1:
Page 108 and 109: C H0 ,L 1√ ll 2 (T 11Y † l S 11
Page 110 and 111: c Z,L ll c Z,L lΣ − c Z,L Σ −
Page 112 and 113: Bibliography [1] S. Weinberg, Phys.
Page 114: Lett. B 615, 231 (2005); Phys. Rev.
Page 118 and 119: violating λ ′′ coupling are co
Page 120 and 121: neutralino-neutrinomassmatrixandins
Page 122 and 123: 4.3 Symmetry Breaking In this secti
Page 124 and 125: +(M 2 +m 2 Σ )ũ2 + ∑ m 2˜ν i
Page 126 and 127: Here M 1,2 are the soft supersymmet
Page 128 and 129: is violated, we have neutrino-neutr
Page 130 and 131: (M 1,2 ,M,µ,Y Σi ,v 1,2 ,ũ,u i )
Page 132 and 133: In our model in addition to the sta
Page 134 and 135: 4.8 Conclusion In this work we have
Page 136 and 137: Y Σi √2 ĤuˆΣ 0 0c Rˆν L i
Page 138 and 139: while the parameter α 1 is α 1 =
Page 140 and 141: Bibliography [1] S. Roy and B. Mukh
Page 142 and 143: [15] M. C. Gonzalez-Garcia and J. W
Page 144 and 145: ν i A Σi • ˜ν i h,H,A × χ
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of the form ⎛ ⎞ A B B m ν =
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triplet representation of A 4 , l =
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m 0 =0.016 m 0 =0.024 m 0 =0.032 2
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Higgs Neutrino mass matrix Eigenval
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5.3. The deviation of the mixing an
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Sin 2 θ 12 Sin 2 θ 13 Sin 2 θ 23
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Figure 5.5: Scatter plot showing th
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Figure 5.6: Same as Fig. 5.5 but fo
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mass matrix is then given as ⎛ m
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Bibliography [1] M. C. Gonzalez-Gar
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140
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142
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a way that the residual µ−τ sym
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where Λ is the cut-off scale of th
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m 2 . The eigenvectors are given as
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For λ ≃ 2 × 10 −2 ≃ λ2 c 2
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2 2 2 1 1 1 y 2 0 y 3 0 y 4 0 -1 -1
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0.08 0.25 0.06 0.2 10 -3 m νee (eV
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We show the values of |U e3 | ≡ s
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while the branching ratio for this
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6.4 The Vacuum Expectation Values I
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where we have defined B = (b+f 1 +f
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VEV alignments. Another way the VEV
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(2006); M. Maltoni, T. Schwetz, M.
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168
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metric standard model in chapter 1.
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mally two. However the R-parity vio
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sector contains the exact/approxima
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PHYS08200604017 Manimala Mitra - Homi Bhabha National Institute

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